高温应变计结构优化及疲劳寿命可靠性分析
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沈阳航空航天大学航空发动机学院沈阳110136

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TH73

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辽宁省科技厅基金(2025JH2/101800122)项目资助


Structural optimization and fatigue life reliability analysis of high-temperature strain gauges
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School of Aeroengine, Shenyang Aerospace University,Shenyang 110136, China

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    摘要:

    高温应变计是测量航空发动机热端部件应变的精密传感器,其敏感栅结构直接影响测量精度与疲劳寿命。为降低高温应变计的测量误差并提高其疲劳寿命,提出了一种结构参数优化方法及疲劳寿命可靠性评估方法。首先,将敏感栅的长度、间距及弯数作为优化变量,以测量误差与疲劳寿命为优化目标,建立了多目标优化模型,并采用多目标灰狼优化算法(MOGWO)进行迭代寻优求解。基于优化后的结构参数组合制备了高温应变计试样,并在1 000℃条件下进行了振动疲劳试验,获取了有效的疲劳寿命数据,验证了优化方法的有效性。针对试验数据因材料性能分散性及制造误差所导致的小样本、分散性及右偏态问题,提出了一套适用于高温应变计的小样本疲劳寿命可靠性分析方法。为了对比正态分布、对数正态分布与三参数威布尔分布的拟合程度,结合K-S检验法与回归检验法,确定三参数威布尔分布对试验数据的拟合程度最高。然后,采用Bootstrap法估计了三参数威布尔分布的参数置信区间,最终建立了可靠度与疲劳寿命的量化关系。结果表明,优化后的敏感栅结构测量误差降低了5.3%,疲劳寿命提高了22.4%。研究结果为高温环境下应变计的设计与寿命可靠性评估提供了完整的理论方法与实验依据。

    Abstract:

    High temperature strain gauges are precision sensors for measuring the strain of hot end components in aeroengines, and the structure of their sensitive grids directly affects the measurement accuracy and fatigue life. To reduce the measurement error of high temperature strain gauges and improve their fatigue life, a structural parameter optimization method and a fatigue life reliability assessment method are proposed. Firstly, the length, spacing and number of bends of the sensitive grid are taken as optimization variables, and the measurement error and fatigue life are taken as optimization objectives to establish a multi-objective optimization model. The multi-objective grey wolf optimization algorithm (MOGWO) is used for iterative optimization and solution. Based on the optimized structural parameter combination, high temperature strain gauge samples were prepared and vibration fatigue tests were conducted at 1 000℃ to obtain effective fatigue life data, verifying the effectiveness of the optimization method. In view of the small sample size, dispersion and right skewed distribution of the test data caused by the dispersion of material properties and manufacturing errors, a set of small sample fatigue life reliability analysis methods suitable for high temperature strain gauges is proposed. To compare the fitting performance of normal distribution, lognormal distribution and three-parameter Weibull distribution, the K-S test method and regression test method are combined to determine that the three-parameter Weibull distribution has the highest fitting degree for the test data. Then, the Bootstrap method is used to estimate the confidence intervals of the parameters of the three-parameter Weibull distribution, and the quantitative relationship between reliability and fatigue life is finally established. The results show that the measurement error of the optimized sensitive grid structure is reduced by 5.3%, and the fatigue life is increased by 22.4%. The research results provide a comprehensive theoretical method and experimental basis for the design and life reliability assessment of strain gauges in high temperature environments.

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张凤玲,赵亚芝,李仁杰,张旭,曲春雨.高温应变计结构优化及疲劳寿命可靠性分析[J].仪器仪表学报,2026,47(1):74-85

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  • 在线发布日期: 2026-03-30
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